Fold 3 - Understanding why coefficient 289910049 was selected
Tag: OILY SKIN
Selected Coefficient: 289910049
Taxonomy Path: 13.3.2.9.6
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 6
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| 289910049 | 3.000145 | 13.3.2.9.6 | 6.9.2.3.13 (6*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | Yes | |
| 954326543 | 3.000145 | 13.3.2.9.20 | 20.9.2.3.13 (20*83^4 + 9*83^3 + 2*83^2 + 3*83 + 13) | No | |
| 668495 | 3.000290 | 13.3.14.1 | 1.14.3.13 (571787 + 14*83^2 + 3*83 + 13) | Health & Beauty > Personal Care > Shaving & Grooming > Aftershave | No |
| 0 | 4.000145 | 0 | 0 (0) | No | |
| 999421675 | 4.000145 | 0.0.74.4.21 | 21.4.74.0.0 (21*83^4 + 4*83^3 + 74*83^2) | No | |
| -906730185 | 5.000000 | -5.0.65.8.19 | -19.8.65.0.5 (-(19*83^4 + 8*83^3 + 65*83^2 + 5)) | No |
These are the training products that have the "OILY SKIN" tag (processing sequence 6147). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 13700 | Radiance Facial Essence with Rose & Marula | 999421675 | ITCHY SKIN | 709511626 | none | ||
| 10089 | Kantic® Light Clarifying Cream (Wholesale) | 954326543 | none | 664416494 | none | ||
| 10085 | Purifying Gel Cleanser (Wholesale) | 289910049 | none | 0 | none | ||
| 10083 | Skin repair gel (Wholesale) | 668495 | Health & Beauty > Personal Care > Shaving & Grooming > Aftershave | none | -289241554 | REDNESS | |
| 13719 | Carrot & Mango Cleansing Butter, Organic Muslin Set | 0 | SKINCARE SET | -289910049 | ORGANIC CLEANSER, ROSEMARY, DRY MATURE SKIN | ||
| 10042 | His Favorites | -906730185 | EYE CARE, BUNDLE | -1196640234 | none |